Finding the Fourth Proportional to 147,123,864,245.80, 220,685,796,368.70 and 72,739,130,357.80
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Solution
The fourth proportional to 147,123,864,245.80, 220,685,796,368.70 and 72,739,130,357.80 is: 109,108,695,536.70
Step by Step Solution
- Step 1: Write the proportion equation
147,123,864,245.80 : 220,685,796,368.70 = 72,739,130,357.80 : x - Step 2: Convert to fraction form
147,123,864,245.80/220,685,796,368.70 = 72,739,130,357.80/x - Step 3: Cross multiply
147,123,864,245.80x = 220,685,796,368.70 × 72,739,130,357.80 - Step 4: Simplify right side
147,123,864,245.80x = 16,052,492,910,177,776,828,416 - Step 5: Solve for x
x = 16,052,492,910,177,776,828,416/147,123,864,245.80 - Step 6: Final answer
x = 109,108,695,536.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.